Nonsmooth analysis on partially ordered vector spaces: the subdifferential theory

DOI10.1016/0362-546X(86)90122-7zbMath0603.49010MaRDI QIDQ3739767

Nikolaos S. Papageorgiou

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

tangent conegeneralized directional derivativeconstrained vectorial optimizationsubdifferential theory for vector valued convex and nonconvex operators

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Programming in abstract spaces (90C48) Derivatives of functions in infinite-dimensional spaces (46G05) Ordered topological linear spaces, vector lattices (46A40) Multiobjective variational problems, Pareto optimality, applications to economics, etc. (58E17)

Related Items (1)

Nonsmooth analysis: Quasilinear approximations with orders

Cites Work

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• On the efficiency and optimality of random allocations
• Generalized gradients of Lipschitz functionals
• Subdifferentials of compactly Lipschitzian vector-valued functions
• Calcul sous-différentiel et optimisation
• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
• Pareto efficiency in locally convex spaces i
• Pareto efficiency in locally convex spaces II: Stability results
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Generalized Gradients and Applications
• Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
• Directionally Lipschitzian Functions and Subdifferential Calculus
• Sous-Différentiabilité de fonctions convexes à valeurs dans un espace vectoriel ordonné.

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